Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM

BAI Hong-Bo; ZHANG Jin-Fu; ZHOU Xian-Rong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(8) : 752-756

Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM

Department of Physics, Chifeng University, Inner Mongolia 024001, China2 Department of Physics, Liaoning Normal University, Dalian 116029, China

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Abstract：
The energy levels of the SO(6) limit of super-symmetry U(6/4) belonging to odd-A nucleus are calculated with the interacting boson-fermion model. Its emphasis is to study the statistical properties of the nearest neighbor spacing distribution(NSD) and the spectral rigidity(△ ).And the factors that affect the properties of level statistics are also investigated. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to a realistic one, both the interaction strength of subgroup SOBF(5) and the spin play an important role in the energy level statistics. However, in the case of N close to infinite, the statistics all tend to be Poisson type.

References

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BAI Hong-Bo, ZHANG Jin-Fu and ZHOU Xian-Rong. Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM[J]. Chinese Physics C, 2005, 29(8): 752-756.

BAI Hong-Bo, ZHANG Jin-Fu and ZHOU Xian-Rong. Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM[J]. Chinese Physics C, 2005, 29(8): 752-756. shu

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Received: 2004-11-08
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM

Corresponding author: BAI Hong-Bo,

Department of Physics, Chifeng University, Inner Mongolia 024001, China2 Department of Physics, Liaoning Normal University, Dalian 116029, China

Received Date: 2004-11-08
Accepted Date: 1900-01-01
Available Online: 2005-08-05

Abstract: The energy levels of the SO(6) limit of super-symmetry U(6/4) belonging to odd-A nucleus are calculated with the interacting boson-fermion model. Its emphasis is to study the statistical properties of the nearest neighbor spacing distribution(NSD) and the spectral rigidity(△ ).And the factors that affect the properties of level statistics are also investigated. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to a realistic one, both the interaction strength of subgroup SOBF(5) and the spin play an important role in the energy level statistics. However, in the case of N close to infinite, the statistics all tend to be Poisson type.